More likely than unlikely.

> Educated, empowered women with access to family planning facilities have less children if they have any children at all

This has nothing to do with wealth inequality. This does have to do with optimizing for wealth accumulation. Possibly something to do with Quality of Life, wherein children used to improve it comparatively, while now they are more of a risk proposition. For people in poverty, they are a (subsidized) source of income, which is unfortunate.